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International Journal of Systems Science Volume 24, 1993 - Issue 6
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Original Articles

Positively invariant sets for continuous-time systems with the cone-preserving property

S. TARBOURIECH Laboratoire d'Automatique et d'Analyse des Systèmes du CNRS, 7, Avenue di Colonel Roche, Toulouse Cedex, 31077, France
&
C. BURGAT Laboratoire d'Automatique et d'Analyse des Systèmes du CNRS, 7, Avenue di Colonel Roche, Toulouse Cedex, 31077, France
Pages 1037-1047 | Received 25 Oct 1991, Published online: 27 Apr 2007

Citations (11)

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Wiktor Malesza & Witold Respondek. (2018) Linear cone-invariant control systems and their equivalence. International Journal of Control 91:8, pages 1818-1834.
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Articles from other publishers (10)

Adrianto Ravi Ibrahim & Tomohisa Hayakawa. (2020) Positive Invariance of Subset of Positive Externalities. Positive Invariance of Subset of Positive Externalities.
Kwang-Ki K. Kim & Richard D. Braatz. (2013) A characterization of solutions for general copositive quadratic Lyapunov inequalities. A characterization of solutions for general copositive quadratic Lyapunov inequalities.
Isabelle Queinnec, Sophie Tarbouriech & Germain Garcia. 2007. Biology and Control Theory: Current Challenges. Biology and Control Theory: Current Challenges 317 338 .
Maria Elena Valcher & Lorenzo Farina. (2001) On the Construction of Matrix Invariants with Applications. IFAC Proceedings Volumes 34:13, pages 783-788.
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Maria Elena Valcher & Lorenzo Farina. (2000) An Algebraic Approach to the Construction of Polyhedral Invariant Cones. SIAM Journal on Matrix Analysis and Applications 22:2, pages 453-471.
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D.G. Meyer, T.L. Piatt, A.P. Engelmann & J. Hauser. (1999) Cross-positive vector fields: directed stability. Cross-positive vector fields: directed stability.
D.G. Meyer, T.L. Piatt, H.N.G. Wadley & R. Vancheeswaran. (1998) Nonlinear invariance: cross-positive vector fields. Nonlinear invariance: cross-positive vector fields.
Georges Bitsoris & Eliana Gravalou. (1995) Comparison principle, positive invariance and constrained regulation of nonlinear systems. Automatica 31:2, pages 217-222.
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S. Tarbouriech, M. Klai & C. Burgat. (1994) Robust local stabilization conditions for linear systems with saturating controls. Robust local stabilization conditions for linear systems with saturating controls.
S. Tarbouriech & C. Burgat. (1994) Positively invariant sets for constrained continuous-time systems with cone properties. IEEE Transactions on Automatic Control 39:2, pages 401-405.
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